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Mathematics 15 Online
OpenStudy (anonymous):

Quick math question! Will Medal!

OpenStudy (anonymous):

OpenStudy (anonymous):

Basically we just have to add the areas of a bunch of rectangles and triangles

OpenStudy (anonymous):

Do you know the formula for the area of a triangle?

OpenStudy (anonymous):

\[area = \frac{ 1 }{ 2 }bh\]

OpenStudy (anonymous):

First lets find the area of the triangle on top, that would be: \[\frac{ 1 }{ 2 }(3)(2.6)\]

OpenStudy (anonymous):

That's 3.9, right?

OpenStudy (anonymous):

Yep, and since there's actually an identical triangle on the bottom of the figure, we can add that if we simply don't multiply by 1/2

OpenStudy (anonymous):

So the area of both the top and bottom triangles combined is 7.8 because they're both 3.9

OpenStudy (anonymous):

So now we can add the area of the two rectangles in front

OpenStudy (anonymous):

Area of a rectangle is just: \[length \times width\]

OpenStudy (anonymous):

so 7 x 3 is?

OpenStudy (anonymous):

21!

OpenStudy (anonymous):

And there's a second rectangular face just like it on the other side, so 21 * 2?

OpenStudy (anonymous):

42..

OpenStudy (anonymous):

Oh and actually the third rectangle in the back is also the same, so plus another 21

OpenStudy (anonymous):

So the area of the triangles is 7.8m^2 And the area of the rectangles is 63m^2 so 63^2 + 7.8m^2 would be the answer

OpenStudy (anonymous):

If it's simplified that is

OpenStudy (anonymous):

\[70.8\]

OpenStudy (anonymous):

Yep :)

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